What is 3log_{5}((uv^2)/(w^3)) ?

The solution to 3log_{5}((uv^2)/(w^3)) is 3log_{5}(u)+6log_{5}(v)-9log_{5}(w)

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simplify 3log_{5}((uv^2)/(w^3))

simplify

3 lo g_{5} (\frac{u v ^{2}}{w ^{3}})

3 lo g_{5} (u) + 6 lo g_{5} (v) - 9 lo g_{5} (w)

Solution steps

3 lo g_{5} (\frac{u v ^{2}}{w ^{3}})

Simplify

lo g_{5} (\frac{u v ^{2}}{w ^{3}}) : lo g_{5} (u) + 2 lo g_{5} (v) - 3 lo g_{5} (w)

= 3 (lo g_{5} (u) + 2 lo g_{5} (v) - 3 lo g_{5} (w))

Expand

3 (lo g_{5} (u) + 2 lo g_{5} (v) - 3 lo g_{5} (w)) : 3 lo g_{5} (u) + 6 lo g_{5} (v) - 9 lo g_{5} (w)

= 3 lo g_{5} (u) + 6 lo g_{5} (v) - 9 lo g_{5} (w)

\frac{1}{2} lo g_{10} (24) - lo g_{10} (4)

lo g_{b} (x^{3} \frac{y ^{2}}{z})

ln (\frac{4 x}{7 y ^{2}})

lo g_{5} (\frac{25 b ^{5} y ^{2} - 6}{y ( x + 6 ) ^{2}})

What is 3log_{5}((uv^2)/(w^3)) ?
The solution to 3log_{5}((uv^2)/(w^3)) is 3log_{5}(u)+6log_{5}(v)-9log_{5}(w)